Dresden 2014 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 79: Correlated Electrons - Poster Session
TT 79.64: Poster
Wednesday, April 2, 2014, 15:00–19:00, P2
Hierarchical Master Equation Approach to Nonequilibrium Green’s Functions: From Transport through Interacting Quantum Dots to Dynamical Mean Field Theory — •Rainer Härtle1,2, Guy Cohen3, David R. Reichman3, and Andrew J. Millis2 — 1Institut für theoretische Physik, Georg-August-Universität Göttingen, Göttingen, Germany — 2Department of Physics, Columbia Universtiy, New York, USA — 3Department of Chemistry, Columbia Universtiy, New York, USA
We extend the hierarchical quantum master equation methodology [1,2,3] to the computation of the Green’s function of an impurity system that can be driven out of equilibrium. We employ an auxiliary lead method [4], which involves a smearing over a certain energy range, and a direct method, where besides the reduced density matrix correlations between the impurity and its environment have to be included [5]. We compare both methods, studying nonequilibrium quantum transport through an interacting double quantum dot [3] and discuss applications to nonequilibrium dynamical mean field theory.
[1] Y. Tanimura, J. Phys. Soc. Jpn. 75, 082001 (2006).
[2] J. Jin et al., J. Chem. Phys. 128, 234703 (2008).
[3] R. Härtle et al., arXiv:1309.1170 (2013).
[4] G. Cohen et al., arXiv:1310.4151 (2013).
[5] S. Wang et al., arXiv:1301.6850 (2013).